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We present an accurate Lagrangian method based on vortex particles, level-sets, and immersed boundary methods, for animating the interplay between two fluids and rigid solids. We show that a vortex method is a good choice for simulating…

We aim at the stability of time-dependent motions, such as time-periodic ones, of a rigid body in a viscous fluid filling the exterior to it in 3D. The fluid motion obeys the incompressible Navier-Stokes system, whereas the motion of the…

偏微分方程分析 · 数学 2024-02-21 Toshiaki Hishida

Recent developments in vortex particle methods for simulating three-dimensional incompressible flows are presented. A lightweight, dynamic Large-Eddy Simulation model is tested, featuring a dynamic procedure that relies solely on Lagrangian…

流体动力学 · 物理学 2026-01-13 Flavio A. C. Martins , Alexander van Zuijlen , Carlos J. Simao Ferreira

Within the framework of Lagrangian mechanics, the conservativeness of the hydrostatic forces acting on a floating rigid body is proved. The representation of the associated hydrostatic potential is explicitly worked out. The invariance of…

数学物理 · 物理学 2018-03-08 Enrico Massa , Stefano Vignolo

This work presents a high-order Arbitrary-Lagrangian-Eulerian (ALE) Discontinuous Galerkin framework for simulating multi-body Vortex-Induced Vibrations. The ALE formulation extends a Runge-Kutta Interior-Penalty nodal DG solver with…

流体动力学 · 物理学 2026-04-28 Alexios Papadimitriou , Spyridon Zafeiris , George Papadakis

A kinematic approach for the identification of flow instabilities is proposed. By defining a flow instability in the Lagrangian frame as the increased folding of lines of fluid particles, subtle perturbations and unstable growth thereof are…

流体动力学 · 物理学 2020-09-15 Bjoern F. Klose , Mattia Serra , Gustaaf B. Jacobs

An arbitrary Lagrangian--Eulerian (ALE) finite element method for arbitrarily curved and deforming two-dimensional materials and interfaces is presented here. An ALE theory is developed by endowing the surface with a mesh whose in-plane…

计算物理 · 物理学 2020-03-24 Amaresh Sahu , Yannick A. D. Omar , Roger A. Sauer , Kranthi K. Mandadapu

Non-linear oscillations of an elliptical cylinder, that can rotate about an axis that passes through its symmetry axle due to a torsional spring and hydrodynamic torque produced by the flow of a Newtonian fluid, were analysed in terms of a…

流体动力学 · 物理学 2023-07-28 F. Mandujano , E. Vázquez-Luis

Vortex induced vibrations of bluff bodies occur when the vortex shedding frequency is close to the natural frequency of the structure. Of interest is the prediction of the lift and drag forces on the structure given some limited and…

流体动力学 · 物理学 2019-01-30 Maziar Raissi , Zhicheng Wang , Michael S. Triantafyllou , George Em Karniadakis

Through the Ginzburg-Landau and the Navier-Stokes equations, we study turbulence phenomena for viscous incompressible and compressible fluids by a second order phase transition. For this model, the velocity is defined by the sum of…

流体动力学 · 物理学 2019-12-30 Mauro Fabrizio

A pinned-free beam in axial fluid flow, subjected to feedback-based actuation at the pinned end, is investigated. The actuation may be a moment or a prescribed angle and it is proportional to the state (curvature, slope, or displacement) of…

流体动力学 · 物理学 2023-02-07 Sanders Aspelund , Ranjan Mukherjee , Aren Hellum

We propose and analyze a linear and partitioned finite element method for fluid-shell interactions under the arbitrary Lagrangian-Eulerian (ALE) framework. We adopt the P1-bubble/P1/P1 elements for the fluid velocity, pressure, and…

数值分析 · 数学 2026-01-07 Bangwei She , Tian Tian , Karel Tuma

In this paper, we investigate the hemodynamics of a left atrium (LA) by proposing a computational model suitable to provide physically meaningful fluid dynamics indications and detailed blood flow characterization. In particular, we…

流体动力学 · 物理学 2022-07-08 Alberto Zingaro , Luca Dede' , Filippo Menghini , Alfio Quarteroni

We study the azimuthal modulational instability of vortices with different topological charges, in the focusing two-dimensional nonlinear Schr{\"o}dinger (NLS) equation. The method of studying the stability relies on freezing the radial…

斑图形成与孤子 · 物理学 2012-05-11 R. M. Caplan , Q. E. Hoq , R. Carretero-González , P. G. Kevrekidis

We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stationary Navier-Stokes equations with laminar inflow and…

偏微分方程分析 · 数学 2023-08-11 Edoardo Bocchi , Filippo Gazzola

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on…

流体动力学 · 物理学 2021-11-03 Abhimanyu Bhadauria , Benedikt Dorschner , Ilya Karlin

A new geometrically conservative arbitrary Lagrangian-Eulerian (ALE) formulation is presented for the moving boundary problems in the swirl-free cylindrical coordinates. The governing equations are multiplied with the radial distance and…

流体动力学 · 物理学 2010-10-22 Mehmet Sahin , Kamran Mohseni

A rational theory is proposed to describe the large-scale motion in turbulence. The fluid element with inner orientational structures is proposed to be the building block of fluid dynamics. The variance of the orientational structures then…

流体动力学 · 物理学 2011-05-31 Wennan Zou

In this investigation we revisit the question of the linear stability analysis of 2D steady Euler flows characterized by the presence of compact regions with constant vorticity embedded in a potential flow. We give a complete derivation of…

流体动力学 · 物理学 2013-06-03 Alan Elcrat , Bartosz Protas

We present a novel partitioned iterative formulation for modeling of fluid-structure interaction in two-phase flows. The variational formulation consists of a stable and robust integration of three blocks of differential equations, viz.,…

流体动力学 · 物理学 2020-05-06 Vaibhav Joshi , Rajeev K. Jaiman
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